CONCRETE INTRODUCTION TO HIGHER ALGEBRA by Childs, Lindsay N ISBN 0387989994
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[edit] CONCRETE INTRODUCTION TO HIGHER ALGEBRA
This volume is written as an introduction to higher algebra for students with a background of a year of calculus. The objective of the book is to give students enough experience in the algebraic theory of the integers and polynomials to appreciate the basic concepts of abstract algebra.
This book is an informal and readable introduction to higher algebra at the post-calculus level. The concepts of ring and field are introduced through study of the familiar examples of the integers and polynomials. A strong emphasis on congruence classes leads in a natural way to finite groups and finite fields. The new examples and theory are built in a well-motivated fashion and made relevant by many applications--to cryptography, coding, integration, history of mathematics, and especially to elementary and computational number theory. The later chapters include expositions of Rabiin's probabilistic primality test, quadratic reciprocity, and the classification of finite fields. Over 900 exercises, ranging from routine examples to extensions of theory, are found throughout the book; hints and answers for many of them are included in an appendix.
[edit] Book Details
[edit] Title
CONCRETE INTRODUCTION TO HIGHER ALGEBRA
[edit] Author
Childs, Lindsay N
[edit] ISBN
0387989994
[edit] Published
29/02/2000
[edit] Publisher
Springer-Verlag New York Inc.
[edit] Binding
paperback
[edit] Retail Price
40.5 (GBP)
[edit] Typical Price Online
36.45 (GBP)
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